{"url":"/dataset/mechanical-metamaterial-square-array-of","name":"Mechanical Metamaterial: Square Array of Circular Holes Under Deformation","full_name":null,"description_markdown":"This repository contains data for a research project involving graph neural networks (GNNs) applied to mechanical metamaterials and their deformations. \r\n\r\nThe mechanical metamaterials of interest consist of a flexible rubber-like material with a square grid of almost-circular holes in it, of various diameters. The holes are not quite circular, because they were made slightly elliptic to avoid the bifurcation point.\r\n\r\nThis data was used to obtain the results in the paper 'Similarity Equivariant Graph Neural Networks for Homogenization of Metamaterials'.\r\n\r\nThe data includes PyTorch Geometric Graph objects, raw data from MATLAB simulations, and files describing the finite element mesh. The Jupyter notebook 'data_create_graphs.ipynb' in the GitHub repository can be used to turn the raw data and mesh information into the graph objects.\r\n\r\nGitHub repository with the code: https://github.com/FHendriks11/SimEGNN\r\n\r\nArXiv link to the corresponding paper Similarity Equivariant Graph Neural Networks for Homogenization of Metamaterials: https://arxiv.org/abs/2404.17365\r\n\r\nThe .pkl files are pickle files and can be opened in Python using the standard pickle library. The mesh files, which have the extension .mat, are MatLab files and can be opened either in MatLab or in Python using scipy.io.loadmat from the scipy library.","description_withheld":null,"homepage":"https://zenodo.org/records/14229619","introduced_date":"2024-04-26","introduced_date_note":null,"introduced_by":{"paper":"/paper/similarity-equivariant-graph-neural-networks","title":"Similarity Equivariant Graph Neural Networks for Homogenization of Metamaterials","first_author":"Fleur Hendriks","url":null},"license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"modalities":[{"name":"Graphs","url":"/datasets/modality/graphs"}],"tasks":[{"name":"Physical Simulations","url":"/task/physical-simulations","datasets_with_task":"/datasets/task/physical-simulations"}],"languages":[],"variants":["Mechanical Metamaterial: Square Array of Circular Holes Under Deformation"],"data_loaders":[],"num_papers_in_archive":1,"source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28"},"benchmarks":[],"papers_with_a_benchmark_row":[],"syntology_totals":{"read_at":"2026-09-24T18:15:14+00:00","papers_with_samples":0,"samples_harvested":0,"samples_ran":0,"samples_unverified":0,"pointer_only_for_licence":0,"papers_with_no_sample_that_ran":0,"note":"the per-paper counts above, summed; not a rate"},"papers_note":"The archive never published its papers-using-dataset list; these are papers with a leaderboard row on this dataset's benchmarks."}